On the on-shell: the action of AdS4 black holes

We construct necessary and sufficient geometric conditions for a class of AdS 2 solutions of M-theory with, at least, minimal supersymmetry to exist. We generalize previous results in the literature for N = (2, 0) supersymmetry in AdS 2 to N = (1, 0). When the solution can be locally described as AdS 2 × Σ g × SE 7 with Σ g a Riemann surface of genus g and SE 7 a seven-dimensional Sasaki-Einstein manifold, we clarify and unify various solutions present in the literature. In the case of SE 7 = Q 1,1,1 we find a new solution with baryonic and mesonic charges turned on simultaneously.A There are no AdS 2 solutions with Spin(7)-structure 32 B No AdS 3 solutions within SU(4)-structure AdS 2 class 33 C Killing spinor approach 35

Section: Discussionmentioning

confidence: 99%

Aspects of AdS2 classification in M-theory: solutions with mesonic and baryonic charges

Hong

Macpherson

Zayas

2019

“…Based on these considerations, the authors of [23] related the extremization principle for AdS 5 black holes to the attractor mechanism in one dimension lower. The relation between the entropy of supersymmetric AdS 4 black holes and their on-shell supergravity action was discussed in [25][26][27].…”

Section: )mentioning

confidence: 99%

Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes

Cabo-Bizet

Cassani

Martelli

et al. 2019

222

441

We present a holographic derivation of the entropy of supersymmetric asymptotically AdS 5 black holes. We define a BPS limit of black hole thermodynamics by first focussing on a supersymmetric family of complexified solutions and then reaching extremality. We show that in this limit the black hole entropy is the Legendre transform of the on-shell gravitational action with respect to three chemical potentials subject to a constraint. This constraint follows from supersymmetry and regularity in the Euclidean bulk geometry. Further, we calculate, using localization, the exact partition function of the dual N = 1 SCFT on a twisted S 1 × S 3 with complexified chemical potentials obeying this constraint. This defines a generalization of the supersymmetric Casimir energy, whose Legendre transform at large N exactly reproduces the Bekenstein-Hawking entropy of the black hole.This makes it manifest that in the BPS limit, r + = r * , again the imaginary parts vanish, while the real parts coincide with the BPS values in (2.23). The energy E is also complex and it satisfies the relation

“…The sphere partition function can be extracted from the finite part of the disc entanglement entropy, given by [55] S finite 22) with 16πG N = (2π) 7 (α ) 4 .…”

Section: Sphere Partition Functionmentioning

confidence: 99%

“…For other interesting developments in this context see[19][20][21][22][23][24][25][26] 2. Similar universal relations were discussed in a variety of dimensions in[33].…”

mentioning

confidence: 99%

Black hole microstate counting in Type IIB from 5d SCFTs

Fluder

Hosseini

Uhlemann³

2019

We use recently established AdS 6 /CFT 5 dualities to count the microstates of magnetically charged AdS 6 × S 2 × Σ black holes in Type IIB. The near-horizon limit is described by solutions with AdS 2 × Σ g 1 × Σ g 2 × S 2 × Σ geometry, where Σ g i are Riemann surfaces of constant curvature and Σ is a further Riemann surface over which the geometry is warped. Our results show that the topologically twisted indices of the proposed dual superconformal field theories precisely reproduce the Bekenstein-Hawking entropy of this class of black holes. This provides further support for a prescription to compute fivedimensional topologically twisted indices put forth recently, and for the proposed dualities. We confirm the N 4 scaling found in the sphere partition functions and extend previous matches of sphere partition functions to AdS 6 solutions with monodromy. arXiv:1902.05074v2 [hep-th]